It is required to seat 5 boys and 4 girls in a row so that the girls occupy the even places. How many such arrangements are possible?
2880
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3280
3680
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1
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How many 5 digit even numbers with distinct digits can be formed using the digits 1, 2, 5, 5, 4?
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2
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Three unbiased coins are tossed. What is the probability of getting at most two heads ?
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3
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How many numbers can be formed from 1, 2, 3, 4, 5 (without repetition), when the digit at the unit’s place must be greater than that in the ten’s place?
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4
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Find the probability that a leap year selected at random will contain 53 Sundays
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5
Discuss

There are seven pairs of black shoes and five pairs of white shoes. They are all put into a box and shoes are drawn one at a time. To ensure that at least one pair of black shoes are taken out, what is the number of shoes required to be drawn out?
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6
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There are 20 people among whom two are sisters. Find the number of ways in which we can arrange them around a circle so that there is exactly one person between the two sisters.
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7
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How many fourdigit numbers, each divisible by 4 can be formed using the digits 5, 6, 7, 8, 9, repetition of digits being allowed in any number?
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8
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Four letters are selected from the word “CAPAME” and are rearranged to form four letter words. How many words can be formed?
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9
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From a group of 7 men and 6 women, five persons are to be selected to form a committee so that at least three men are in the committee. In how many ways can it be done?
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10
Discuss

Two cards are drawn together from a pack of 52 cards. The probability that one is a spade and one is a heart, is
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